a r t i c l e i n f o a b s t r a c t The level-set method is a popular interface tracking method in two-phase flow simulations. An often-cited reason for using it is that the method naturally handles topological changes in the interface, e.g. merging drops, due to the implicit formulation. It is also said that the interface curvature and normal vectors are easily calculated. This last point is...

Wave functions, phase shifts and corresponding elastic cross sections are investigated for two short-range interacting particles in a deformed external oscillator field. For this we use the equivalent $d$-method employing non-integer dimension $d$. Using square-well potential, derive analytic expressions scattering lengths shifts. In particular, consider dimension, $d_E$, infinite length, where...